Please solve this geometry math problem... I will mark you brainliest

The measures in the circle given in the image above are calculated as:

1. m<PSQ = 130°;   2. m<AQS = 30°; 3. m(QR) = 100°; 4. m(PS) = 110°; 5. (RS) = 70°.

In order to find the measures in the circle shown, recall that according to the inscribed angle theorem, the measure of intercepted arc is equal to the central angle, but is twice the measure of the inscribed angle.

1. m<PSQ = m<PAQ

Substitute:

m<PSQ = 130°

2. Find m<PBQ:

m<PBQ = 1/2(m(PQ) + m(RS)) [based on the angles of intersecting chords theorem]

Substitute:

m<PBQ = 1/2(130 + 2(35))

m<PBQ = 100°

m<AQS = 180 - [m<BAQ + m<PBQ]

Substitute:

m<AQS = 180 - [(180 - 130) + 100]

m<AQS = 30°

3. m(QR) = m<QAR

Substitute:

m(QR) = 100°

4. m(PS) = 180 - m(RS)

Substitute:

m(PS) = 180 - 2(35)

m(PS) = 110°

5. m(RS) = 2(35)

m(RS) = 70°

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Answer/Step-by-step explanation:

Based on my knowledge, the solution of the system of equations on the graph would be the point where they all meet. Thus, the answer I would put down is:

(-5,2)

The speed of the ball would be 13 m/s just before it strikes the ground.

A ball is thrown horizontally from the top of a 110 m high building. 61 meters horizontally from the moment of release, the ball falls on the earth.

Velocity is defined as the displacement of the object in a given amount of time and is referred to as velocity.

First of all, we get the time of aviation from the vertical component:

Here s = 110 m and g = 9.8 m/s²

s = 1/2 × gt²

Solve for t

t = √(2s/g)

Substitute the values of s = 110 m and g = 9.8 m/s² in the equation,

t = √(2×110/9.8)

t = √22.44

t = 4.7 sec

The horizontal component of velocity is constant :

v = s/t

Here s = 61 m and t = 4.7 sec

v = 61/4.7

v = 12.97 ≈ 13

Therefore, the speed of the ball would be 13 m/s just before it strikes the ground.

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The distance traveled in 3 seconds is 3/100 miles.

The term "Distance Traveled" describes how far an object has traveled during a specified amount of time to get to its destination. Or The path that a body takes to go a specific distance at a certain speed from one location to another is known as the distance traveled.

The distance can travel in 1 minute.

In order to find the distance traveled in 1 minute, first we need to find the distance traveled in 1 second.

In 3 seconds it can travel 3/100 miles. So, in 1 second it can travel

= 3/100 × 3

= 1/100 miles.

Now, we know that in 1 minute there are 60 seconds. So, in 1 minute it can travel

= 1/100 × 60

= 1/10 × 6

= 6/10

= 0.6 mile

Hence, it can travel 0.6 miles in a minute.

Complete question:

The average sneeze can travel 3/100 mile in 3 seconds. at this rate how far can it travel in 1 minute​

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Answer:

5

Step-by-step explanation:

Answer:

3 3/4

Step-by-step explanation:

Given data:

The numbers of shirts are s=5.

The numbers of ties are t=3.

The different combination that can be makes are,

Thus, there are total 15 different combinations.

Answer:

300000

Step-by-step explanation:

An easy way to solve this is find 6x5 which is 30 and then add all of the 0s at the end from the equation which is 4 zeros

Answer: -5/3

Step-by-step explanation:

Answer: m = -4/3

Step-by-step explanation:

If you're given two different coordinates, and you want to find the slope, the general rule is that you subtract the first coordinates from the first. The formula for these kinds of problems is \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\) .

Answer: y= 1 over 3x+5

Step-by-step explanation:

The age of the man is 40 years and that of his daughter is 8 years respectively.

A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.

Suppose the age of man be x.

Then, age of his daughter is x - 32.

As per the question the following equation can be formed for the product of ages as ,

x(x - 32) = 320

⇒ x² - 32x - 320 = 0

⇒ x = 40, -8

Since, age of a person cannot be a negative value, it is taken as positive.

Thus, the age of daughter is 40 - 32 = 8

Hence, the age of the man and his daughter is obtained as 40 and 8 years respectively.

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Answer:

The x value does not change between the two points, meaning that our line includes all possible points in which x=5.

x=5 is the slope.

Answer:

x = 5

Step-by-step explanation:

slope: undefined

So, x = 5

The time taken for investment to reach $ 25000 is t = 0.4581 years

Given data ,

The formula for a certain uninsured certificate of deposit is

A (t) = 10000e^2t

And , 10,000 is the principal amount, and A (t) is the amount the investment is valued in t years

Now , when A = 25,000 ,

A(t) = 10000e^(2t) = 25000

Dividing both sides by 10000, we get:

e^(2t) = 2.5

Taking the natural logarithm of both sides, we get:

ln(e^(2t)) = ln(2.5)

Using the property that ln(e^x) = x, we simplify the left side to:

2t = ln(2.5)

Dividing both sides by 2, we get:

t = ln(2.5) / 2

On simplifying the equation , we get

t ≈ 0.4581 years

Hence , it will take approximately 0.4581 years, or about 5.5 months, for the investment to grow to $25,000

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x1 = 1.3, x2 = 0.3, x3 = 0.7

The solution to the linear programming problem is: x1 = 1.3, x2 = 0.3, x3 = 0.7.

Using the Dual Simplex Algorithm (DSA), we can solve the problem by setting up the initial tableau:

x1 = −5x1 + x2 − 2x3

2x1 + x3 = 0

x1 − x2 ≥ 1

3x1 − x2 + x3 ≤ 3

Once the tableau is set up, we can use DSA to find the optimal solution.

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Answer:

Width = 11 yards

Length = 9 yards

Step-by-step explanation:

Area = length * width      length = x      width = w

Area = 99

width = x + 2

length = x

99 = (x) (x+2)

99 = x^2 + 2x

x = 9, or -11

Since we are talking about length we know x can't be -11, so we can rule that answer out.

We now know x = 9, so the length is 9 yards, now we only need to plug in 9 as x in the width equation.

w = 9 + 2

w = 11

The width is 11 yards and the length is 9 yards.

The final solution of the given problem is X = 2.82, Y = 1.04 for an Optimal solution Value of -16.93.

Given the optimization problem in 2X2 – 14X + 2XY + Y2 – 18Y + 50s.t. X + 4Y ≤ 8, we have to find the minimum solution to the given problem.

Solution To find the solution to the given optimization problem, we need to use the Lagrange multiplier method. Using this method, we have the following system of equations: 2x - 14 + 2y = λ4y - λ = 0x + 4y ≤ 8Solving the above equations, we get the following solutions:x = 3, y = 1, λ = 6

The optimal solution is X = 3, Y = 1, for an optimal solution value of -17. If the right-hand side of the constraint is increased from 8 to 9, the objective function would change by -2.29. (Decrease by 2.29)Now, we have to resolve the problem with a new right-hand side of 9.

The new optimization problem will be in 2X2 – 14X + 2XY + Y2 – 18Y + 50s.t. X + 4Y ≤ 9

Using the same method as above, we have the following system of equations:2x - 14 + 2y = λ4y - λ = 0x + 4y ≤ 9Solving the above equations, we get the following solutions:x = 2.82, y = 1.04, λ = 6.07

The objective function value is -16.93 so the actual increase/decrease is only -0.07 rather than -2.29. Hence, the actual change is very different from the estimated change.

Therefore, the final solution of the given problem is X = 2.82, Y = 1.04 for an optimal solution value of -16.93.

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Answer:

See below

Step-by-step explanation:

When nether of the variable will fall out when adding together.  For example:

2x + 5y = 13

-2x + 7y = 17

When I add these equation together, the variable x will drop out because 2x - 2x = 0 and we would be left with other the y variable which we then can solve for. 12y = 30    

Now another example where the neither the x or y falls out.

x + 5y = 12

2x + 3y= 9

When I add these together, neither variable falls out.

3x + 8y = 21

BUT, if I multiply x + 5y = 12 though by -2 I get

-2x -10y = -24

Now when I add the two equation together the x's will drop out.

-2x -10y = -24

2x + 3y = 9

-7y = --15

Answer:

the solution points for the system of equations are (3, 25) and (-7/2, -7).

Step-by-step explanation:

We can solve this system of equations using substitution or elimination. Here, we will use the substitution method:

Substitute y = 2x^2 + 5x - 10 into the second equation:

4x - (2x^2 + 5x - 10) = -11

Simplifying the left side of the equation:

4x - 2x^2 - 5x + 10 = -11

Rearranging the terms:

2x^2 - x + 21 = 0

Using the quadratic formula:

x = (-(-1) ± sqrt((-1)^2 - 4(2)(21))) / 2(2)

x = (1 ± sqrt(169)) / 4

x = (1 ± 13) / 4

Simplifying:

x = 3 or x = -7/2

Now, substitute each value of x back into one of the original equations to find the corresponding value(s) of y:

For x = 3:

y = 2(3)^2 + 5(3) - 10 = 25

So one solution point is (3, 25).

For x = -7/2:

y = 4(-7/2) + 11 = -7

So the other solution point is (-7/2, -7).

Therefore, the solution points for the system of equations are (3, 25) and (-7/2, -7).

We have the next given expression:

(3y+5)(3y+4)

Simplify the expression:

(3y+5)(3y+4) = 3y*3y+*3y*4+*5*3y+5*4

= 9y²+12y+15y+20

=9y²+27y+20

Hence, the expression is a trinomial.

It is degree is given by the largest exponent number.

Then, the degree of the polynomial is 2.

Answer:

It would end up positive

Step-by-step explanation:

4^-4 = 0.00390625

you can plug this in for almost any calculator and would get the answer above

Have a nice day! :-)

Answer:

Positive

Step-by-step explanation:

Calculator got me 1/256

To find the constant of proportionality of a given relationship, divide the given ratios:

8​ grams of yeast for every 500​ grams of flour

⇒ 8/500

⇒ 0.016

We can find the constant that is greater than 1 by reversing the values:

500​ grams of flour for every 8​ grams of yeast

⇒ 500/8

⇒ 62.5

Greater than 1: 62.5

Less than 1: 0.016

The Lewis family used their sprinkler for 30 hours, while the Pham family used theirs for 25 hours.

Let's assume x represents the number of hours the Lewis family used their sprinkler, and y represents the number of hours the Pham family used their sprinkler. We can set up a system of equations based on the given information.

Equation 1: x + y = 55 (The combined total of hours)

Equation 2: 30x + 25y = 1475 (The total water output in liters)

To solve this system of equations, we can use substitution or elimination methods. By solving Equation 1 for x and substituting it into Equation 2, we get:

30(55 - y) + 25y = 1475

1650 - 30y + 25y = 1475

-5y = -175

y = 35

Substituting the value of y into Equation 1, we find:

x + 35 = 55

x = 20

Therefore, the Lewis family used their sprinkler for 20 hours, while the Pham family used theirs for 35 hours.

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Answer:

1.b

2.d

Sana makatulong

1. Optiond D is correct,  Triangle proportionality theorem can be used to  find a missing length in a right triangle.

2. Option D is correct, the value of x is 6.

1. The  Triangle proportionality theorem can be used to  find a missing length in a right triangle.

The triangle proportionality theorem states that if a line parallel to one side of a triangle intersects the other two sides at different points, then it divides the remaining two sides proportionally.

2. By triangle proportionality theorem:

NO/OP=NM/x

20/8=15/x

Simplify the LHS:

5/2=16/x

Apply cross multiplication:

5x=15×2

5x=30

x=30/5

x=6

Hence, the value of x is 6.

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The curvature of the curve R(t) is: κ = √[(101t⁴ + 100)/(100 + 324t²)].

The given curve is R(t) = 2ti + 5t²j - 3t³k.

We need to find the first and second derivatives of R(t) and curvature of R(t).

Let's start by calculating the first derivative of R(t).

1. Find R′(t)The first derivative of R(t) is given by:R'(t) = (d/dt)[2ti + 5t²j - 3t³k] = (d/dt)(2ti) + (d/dt)(5t²j) - (d/dt)(3t³k) = 2i + 10tj - 9t²k

Therefore, the first derivative of R(t) is:

R'(t) = 2i + 10tj - 9t²k.

2. Find R′′(t)

The second derivative of R(t) is given by:

R''(t) = (d/dt)[2i + 10tj - 9t²k] = (d/dt)(2i) + (d/dt)(10tj) - (d/dt)(9t²k) = 0i + 10j - 18tk

Therefore, the second derivative of R(t) is:

R''(t) = 10j - 18tk.

3. Find the curvature κ

To find the curvature of the curve R(t), we first need to find the magnitude of the first derivative, which is given by:

|R'(t)| = √(2² + 10²t² + 9²t⁴) = √(101t⁴ + 100)

Now, we need to find the magnitude of the second derivative, which is given by:

|R''(t)| = √(0² + 10² + 18²t²) = √(100 + 324t²)

Finally, the curvature of the curve R(t) is given by:κ = |R'(t)| / |R''(t)| = √[(101t⁴ + 100)/(100 + 324t²)]

Therefore, the curvature of the curve R(t) is:

κ = √[(101t⁴ + 100)/(100 + 324t²)].

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Answer:

30:12

Step-by-step explanation:

The value that is 2 standard deviations from the mean is; 130

For this question, we will use Z-score and as such whether the value is below or above mean (shown by positive or negative sign) and by how much (times the standard deviation).

Thus;

Calculated value = μ + zσ

where;

μ is mean

σ is standard deviation

Hence, the value that would be +2 standard deviations from the mean is;

Calculated value = 100 + 2(15)

Calculated value = 130

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Answer:

a) XY and BD are paralel and they are on the same side in relation to AB line

b) Lines XB and XC have the same size and are supported by the same line BC, therefore XBC and XCB have the same angles, therefore XCB is also 55º.

The sum of all angles of a triangle is 180 so BXC is 180 - 55 - 55.

180 - 110 = 70º
BXC = 70º... probably

Step-by-step explanation:

Answer:

  10∠126.87°

  r = 10; θ = 126.87°

Step-by-step explanation:

The coordinate conversion from (x, y) or (x +yi) to (r; θ) can be done using the relations ...

  r = √(x² +y²)

  θ = arctan(y/x) . . . . paying attention to quadrant

__

For the given complex number, we have ...

  r = √((-6)² +8²) = √(36 +64) = √100 = 10

  θ = arctan(8/(-6)) = arctan(-4/3) . . . . in the 2nd quadrant

  θ ≈ -53.13° +180° = 126.87°

The equivalence is ...

  -6 +8i  ⇔  10∠126.87° . . . . . in the form r∠θ

_____

Additional comment

Many scientific and graphing calculators are equipped to work with complex numbers, including their conversion to or from polar form.

Answer:

D.(1,-2)

Step-by-step explanation:

y= -3x+1

when x=1

y= -3*1 +1

y=-3+1

so

y=-2

Answer:

A. 76%

Step-by-step explanation:

70+6=76 squares are shaded